Base | Representation |
---|---|
bin | 10001111110110… |
… | …00101000000000 |
3 | 101111211010220000 |
4 | 20333120220000 |
5 | 302103134124 |
6 | 22544520000 |
7 | 3511031202 |
oct | 1077305000 |
9 | 344733800 |
10 | 150833664 |
11 | 78161623 |
12 | 42620000 |
13 | 253314b7 |
14 | 16064772 |
15 | d3966c9 |
hex | 8fd8a00 |
150833664 has 100 divisors (see below), whose sum is σ = 450322554. Its totient is φ = 50264064.
The previous prime is 150833653. The next prime is 150833687. The reversal of 150833664 is 466338051.
It can be written as a sum of positive squares in only one way, i.e., 149817600 + 1016064 = 12240^2 + 1008^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39654 + ... + 43290.
Almost surely, 2150833664 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 150833664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225161277).
150833664 is an abundant number, since it is smaller than the sum of its proper divisors (299488890).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
150833664 is an frugal number, since it uses more digits than its factorization.
150833664 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3667 (or 3642 counting only the distinct ones).
The product of its (nonzero) digits is 51840, while the sum is 36.
The square root of 150833664 is about 12281.4357466869. The cubic root of 150833664 is about 532.3118001861.
The spelling of 150833664 in words is "one hundred fifty million, eight hundred thirty-three thousand, six hundred sixty-four".
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